Search a number
-
+
13110324121044 = 22321731897764443
BaseRepresentation
bin1011111011000111110000…
…1101100100110111010100
31201102100001000210120010200
42332301330031210313110
53204244420433333134
643514444425220500
72522122024223223
oct276617415446724
951370030716120
1013110324121044
1141a506a1a9837
121578a51031730
137413b537a207
1433478629acba
1517b069e55499
hexbec7c364dd4

13110324121044 has 144 divisors (see below), whose sum is σ = 36628298703360. Its totient is φ = 3935640360960.

The previous prime is 13110324121009. The next prime is 13110324121079. The reversal of 13110324121044 is 44012142301131.

It is a happy number.

13110324121044 is a `hidden beast` number, since 1 + 3 + 110 + 32 + 412 + 104 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13110324121009) and next prime (13110324121079).

It is a junction number, because it is equal to n+sod(n) for n = 13110324120999 and 13110324121017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193714 + ... + 5570729.

It is an arithmetic number, because the mean of its divisors is an integer number (254363185440).

Almost surely, 213110324121044 is an apocalyptic number.

It is an amenable number.

13110324121044 is an abundant number, since it is smaller than the sum of its proper divisors (23517974582316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110324121044 is a wasteful number, since it uses less digits than its factorization.

13110324121044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764590 (or 7764585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13110324121044 its reverse (44012142301131), we get a palindrome (57122466422175).

The spelling of 13110324121044 in words is "thirteen trillion, one hundred ten billion, three hundred twenty-four million, one hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 89 93 102 124 153 178 186 204 267 279 306 356 372 527 534 558 612 801 1054 1068 1116 1513 1581 1602 2108 2759 3026 3162 3204 4539 4743 5518 6052 6324 8277 9078 9486 11036 13617 16554 18156 18972 24831 27234 33108 46903 49662 54468 93806 99324 140709 187612 281418 422127 562836 844254 1688508 7764443 15528886 23293329 31057772 46586658 69879987 93173316 131995531 139759974 240697733 263991062 279519948 395986593 481395466 527982124 691035427 722093199 791973186 962790932 1187959779 1382070854 1444186398 1583946372 2073106281 2166279597 2375919558 2764141708 2888372796 4091861461 4146212562 4332559194 4751839116 6219318843 8183722922 8292425124 8665118388 11747602259 12275584383 12438637686 16367445844 21422098237 23495204518 24551168766 24877275372 35242806777 36826753149 42844196474 46990409036 49102337532 64266294711 70485613554 73653506298 85688392948 105728420331 128532589422 140971227108 147307012596 192798884133 211456840662 257065178844 364175670029 385597768266 422913681324 728351340058 771195536532 1092527010087 1456702680116 2185054020174 3277581030261 4370108040348 6555162060522 13110324121044